Revenue & Elasticity at Different Prices

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Discussion Overview

The discussion revolves around the concepts of total revenue and arc elasticity in the context of price changes and quantity demanded. Participants are seeking to complete a table with total revenue and elasticity calculations based on given price and quantity data, while also requesting definitions and clarifications on related terms.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that total revenue can be calculated as price times quantity.
  • Definitions of elasticity types are proposed, with elastic defined as |elasticity| > 1, inelastic as |elasticity| < 1, and unitary elastic as |elasticity| = 1.
  • Participants express uncertainty about the definition and application of arc elasticity, with one participant suggesting it involves specific calculations based on changes in quantity and price.
  • Different formulas for calculating arc elasticity are discussed, including one that uses midpoints for percentage changes, leading to varying results among participants.
  • There is a question about the number of answers expected in the calculations, with clarification that there should be four answers corresponding to the four changes between five rows of data.

Areas of Agreement / Disagreement

Participants generally agree on the basic definitions of elasticity and the method for calculating total revenue, but there is no consensus on the exact application of arc elasticity calculations, as different formulas and interpretations are presented.

Contextual Notes

Some participants express uncertainty about the definitions and calculations involved in arc elasticity, indicating a need for further clarification on the methodology and assumptions behind the formulas used.

Who May Find This Useful

This discussion may be useful for students or individuals studying economics, particularly those interested in understanding revenue and elasticity concepts in relation to price changes.

jalen
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Price....Quantity demanded.....total revenue....Arc elasticity(elastic, unitary elastic,inelastic)
10......50
20......40
30......30
40......20
50......10

a)complete the total revenue column

b)complete the arc elasticity for each price change and complete the elasticity column.

Is there an equation I should use to find the total revenue?
Can someone give a brief definition of what elastic, unitary elastic,inelastic mean.
Thanks =)
 
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jalen said:
Price....Quantity demanded.....total revenue....Arc elasticity(elastic, unitary elastic,inelastic)
10......50
20......40
30......30
40......20
50......10

a)complete the total revenue column

b)complete the arc elasticity for each price change and complete the elasticity column.

Is there an equation I should use to find the total revenue?
Can someone give a brief definition of what elastic, unitary elastic,inelastic mean.
Thanks =)

Total Revenue is just price times quantity.

Can you give me a definition of "Arc" Elasticity? I've never heard of that term before. I'm just aware of Elasticity and want to know if Arc Elasticity is the same or something different.
 
jalen said:
Can someone give a brief definition of what elastic, unitary elastic,inelastic mean.
Elastic means |elasticity| > 1, inelastic is |elasticity| < 1, and unitary elastic implies |elasticity| = 1.
 
I'm not sure about the definition exactly, but it has to do with calculations involving...

Q2-Q1 divide by 2
Q2+Q1

P2-P1 divide by 2
P2+P1

= %change
% change (price)

I'm not sure how to apply it to the numbers given...
 
jalen said:
Price....Quantity demanded.....total revenue....Arc elasticity(elastic, unitary elastic,inelastic)
10......50
20......40
30......30
40......20
50......10

a)complete the total revenue column

b)complete the arc elasticity for each price change and complete the elasticity column.

Is there an equation I should use to find the total revenue?
Can someone give a brief definition of what elastic, unitary elastic,inelastic mean.
Thanks =)

jalen said:
I'm not sure about the definition exactly, but it has to do with calculations involving...

Q2-Q1 divide by 2
Q2+Q1

P2-P1 divide by 2
P2+P1

= %change
% change (price)

I'm not sure how to apply it to the numbers given...

I think it's just (% change in Q) / (% change in P) at all the various points.

If I am correct then the first one would be -0.2

I found this by calculating:
% change in Q = (50 - 40) / 50 = 0.2
% change in P = (10 - 20) / 10 = -1.0
 
Economist said:
I found this by calculating:
% change in Q = (50 - 40) / 50 = 0.2
% change in P = (10 - 20) / 10 = -1.0
A slightly different formula uses the midpoint as the "base" (i.e., the denominator) for each of % change in Q and % change in P:

% change in Q = (50 - 40) / ((50+40)/2) = 10/45 = 0.22
% change in P = (10 - 20) / ((10+20)/2) = -10/15 = -0.67

arc elasticity = 0.22/-0.67 = -0.33 = -15/45.
 
Last edited:
EnumaElish said:
A slightly different formula uses the midpoint as the "base" (i.e., the denominator) for each of % change in Q and % change in P:

% change in Q = (50 - 40) / ((50+40)/2) = 10/45 = 0.22
% change in P = (10 - 20)/ ((10+20)/2) = -10/15 = -0.67

arc elasticity = 0.22/0.67 = -0.33 = -15/45.

Thanks EnumaElish. I wasn't aware of that forumula.
 
When I work through the calculations...is there only suppose to be 4 answers out of the five row column?
 
jalen said:
When I work through the calculations...is there only suppose to be 4 answers out of the five row column?

Yes, because although there are 5 rows, there are only 4 changes.
 

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